318 research outputs found
Finite growth representations of infinite Lie conformal algebras
We classify all finite growth representations of all infinite rank
subalgebras of the Lie conformal algebra gc_1 that contain a Virasoro
subalgebra.Comment: 22 page
Quantum Reduction and Representation Theory of Superconformal Algebras
We study the structure and representations of a family of vertex algebras
obtained from affine superalgebras by quantum reduction. As an application, we
obtain in a unified way free field realizations and determinant formulas for
all superconformal algebras.Comment: 48 page
Infinite dimensional primitive linearly compact Lie superalgebras
We classify open maximal subalgebras of all infinite-dimensional linearly
compact simple Lie superalgebras. This is applied to the classification of
infinite-dimensional Lie superalgebras of vector fields, acting transitively
and primitively in a formal neighborhood of a point of a finite-dimensional
supermanifold.Comment: 99 page
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